Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/115438
Title: | High order methods for the approximation of the incompressible Navier-Stokes equations in a moving domain | Authors: | Pena, Gonçalo Prud’homme, C. Quarteroni, A. |
Keywords: | Spectral element method; Incompressible Navier–Stokes equations; Arbitrary Lagrangian–Eulerian framework; Algebraic factorization methods | Issue Date: | Feb-2012 | Publisher: | Elsevier | Project: | SFRH/BD/22243/2005 POCI/2010/FEDER |
Serial title, monograph or event: | Computer Methods in Applied Mechanics and Engineering | Volume: | 209-212 | Abstract: | In this paper we address the numerical approximation of the incompressible Navier–Stokes equations in a moving domain by the spectral element method and high order time integrators. We present the Arbitrary Lagrangian Eulerian (ALE) formulation of the incompressible Navier–Stokes equations and propose a numerical method based on the following kernels: a Lagrange basis associated with Fekete points in the spectral element method context, BDF time integrators, an ALE map of high degree, and an algebraic linear solver. In particular, the high degree ALE map is appropriate to deal with a computational domain whose boundary is described with curved elements. Finally, we apply the proposed strategy to a test case. | URI: | https://hdl.handle.net/10316/115438 | ISSN: | 0045-7825 | DOI: | 10.1016/j.cma.2011.09.016 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2012_Pena_Prudhomme_quarteroni.pdf | 1.42 MB | Adobe PDF | View/Open |
Page view(s)
52
checked on Oct 2, 2024
Download(s)
12
checked on Oct 2, 2024
Google ScholarTM
Check
Altmetric
Altmetric
This item is licensed under a Creative Commons License